$2\mathrm{.}2$ Background: Game Theory

Problem $2.$ Consider the following game with two players who choose between strategy A and strategy $B$ :

$($a$)$ Indicate all of Player X$\text{'}$s best responses on the matrix by circling them. Does Player X have a dominant strategy?

$($b$)$ Indicate all of Player Y$\text{'}$s best responses on the matrix by circling them. Does Player Y have a dominant strategy?

$($c$)$ What is the Nash equilibrium?